[4] **viXra:1703.0259 [pdf]**
*submitted on 2017-03-27 07:52:41*

**Authors:** V.A.Budarin

**Comments:** 13 Pages. Incompressible viscous fluids, pdf

The object of research is obtaining general integrals and some particular solutions for two common flow conditions of incompressible liquid – laminar and averaged turbulent flow. Mathematical description is based on the system of equations of motion in stresses (Navier) and its special case for the Newtonian liquid. A condition of integrating the equations is the constancy of pressure drop and viscosity along the flow. The block schemes of obtaining the general integrals for flow in a pipe and turbulent flow on a plate are represented.
Are as a result, three new general integrals and four particular solutions, which are compared with the known equations, were found. It was shown that the integrals of the Navier equation describe the distribution of tangential stress for turbulent flow. An analysis of solutions for the distribution of velocity showed that the Poiseuille equation for laminar flow in a pipe and the Blasius curve for laminar flow on a plate are particular solutions of one general integral. An analysis of the particular solutions made it possible to estimate the thickness of the laminar sublayer under turbulent flow condition. The results of the work create prerequisites for a more detailed further analysis of laminar and turbulent flows.

**Category:** Mathematical Physics

[3] **viXra:1703.0117 [pdf]**
*submitted on 2017-03-13 07:56:34*

**Authors:** Mauro Bernardini

**Comments:** 5 Pages.

The final solutions of the equation (1), obtained starting from the postulates of the TTR Theory [1], show that the mass m of a Particle of Existence (PE) corresponds to the mass of the Proton. This result has been obtained by placing m as unknown factor in the equation (1) and time t = 80 years (corresponding to the average life time of a Human Being), also lets it to assume (analysis still in progress that will be provided with a later publication), that all the 6 types of possible PE within our 3d universe, really correspond to 6 types of Super-Hydrogens having a total mass approximately equivalent to that of a Super-Proton.

**Category:** Mathematical Physics

[2] **viXra:1703.0102 [pdf]**
*submitted on 2017-03-11 04:09:04*

**Authors:** Sergey G. Fedosin

**Comments:** 18 pages. Reports in Advances of Physical Sciences (2017).http://dx.doi.org/10.1142/S2424942417500025.25

The general field, containing all the macroscopic fields in it, is divided into the mass component, the source of which is the mass four-current, and the charge component, the source of which is the charge four-current. The mass component includes the gravitational field, acceleration field, pressure field, dissipation field, strong interaction and weak interaction fields, other vector fields. The charge component of the general field represents the electromagnetic field. With the help of the principle of least action we derived the field equations, the equation of the matter’s motion in the general field, the equation for the metric, the energy and momentum of the system of matter and its fields, and calibrated the cosmological constant. The general field components are related to the corresponding vacuum field components so that the vacuum field generates the general field at the macroscopic level.

**Category:** Mathematical Physics

[1] **viXra:1703.0101 [pdf]**
*submitted on 2017-03-11 05:42:37*

**Authors:** Damien K. K. Adjaï, Jean Akande, Lucas H. Koudahoun, Biswanath Rath, Pravanjan Mallick, Rati Ranjan Sahoo, Y. J. Fernando Kpomahou, Marc D. Monsia

**Comments:** 10 pages

The quantum mechanics of inverse square potentials in one dimension is usually studied through renormalization, self-adjoint extension and WKB approximation. This paper shows that such potentials may be investigated within the framework of the position-dependent mass quantum mechanics formalism under the usual boundary conditions. As a result, exact discrete bound state solutions are expressed in terms of associated Laguerre polynomials with negative energy spectrum using the Nikiforov-Uvarov method for the repulsive inverse square potential.

**Category:** Mathematical Physics